Non-symmetric electromagnetic oscillations in slotted spherical shells

This paper focuses on accurate calculation of the spectrum of the hybrid ( TE-TM) oscillations arising in perfectly conducting slotted spherical shells. The term "hybrid" ( Er ≠ 0,Hr ≠ 0) reflects the coupling of the electric ( Er ≠ 0, Hr=0) and magnetic ( Er ≠ 0, Hr=0) types of oscillations that may emerge independently only in a closed spherical cavity. The phenomenon of the polarization coupling in open spherical shell first has been established in [1]. Since then investigation of the spectrum of coupled oscillations in spherical shell with a circular hole has been conducted in [2], [3]. The independent symmetric ( m=0) oscillations of electric and magnetic types have been recently comprehensively investigated in [4]. The spectral studies of an open spherical cavity with equatorial circumferential slot (see Fig. 1) are characterized by some distinctive peculiarities because it possesses the higher degree of symmetry than a spherical cavity with a circular hole.